Long-range interactions of kinks

@article{Christov2019LongrangeIO,
  title={Long-range interactions of kinks},
  author={Ivan C. Christov and Robert J. Decker and A Demirkaya and Vakhid A. Gani and Panayotis G. Kevrekidis and Roman V. Radomskiy},
  journal={Physical Review D},
  year={2019}
}
We present a computational analysis of the long-range interactions of solitary waves in higher-order field theories. Our vehicle of choice is the $\varphi^8$ field theory, although we explore similar issues in example $\varphi^{10}$ and $\varphi^{12}$ models. In particular, we discuss the fundamental differences between the latter higher-order models and the standard $\varphi^4$ model. Upon establishing the power-law asymptotics of the model's solutions' approach towards one of the steady… 
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